Update all instances of key inside nested JSON array

I'm trying to update a complex JSON document stored in a table in CockroachDB. The CockroachDB query language is mostly Postgres compatible except for the lack of procedural code, so a Postgres answer without user functions or explicit loops will most likely work. The below sample code is also Postgres-compatible. Among other things that make the document complex are that it contains nested arrays and some redundant structures. The table and document are similar to the following:

> show create table foo;
  table_name |                      create_statement
-------------+--------------------------------------------------------------
  foo        | CREATE TABLE public.foo (
                 id INT8 NOT NULL,
                  data JSONB NOT NULL
              );

> insert into foo (id, data)
values(1, '{
    "foo": {
        "bar": {
            "bar": [
                {
                    "fields": [
                        {
                            "things": [],
                            "key": "something",
                            "value": ""
                        },
                        {
                            "things": [],
                            "key": "somethingelse",
                            "value": "1"
                        },
                        {
                            "things": [],
                            "key": "color",
                            "value": "pink"
                        }
                    ]
                },
                {
                    "id": "ALL",
                    "fields": [
                          {
                            "things": [],
                            "key": "something",
                            "value": ""
                        },
                        {
                            "things": [],
                            "key": "somethingelse",
                            "value": "1"
                        },
                        {
                            "things": [],
                            "key": "color",
                            "value": "white"
                        }
                    ]
                },
                {
                    "id": "1",
                    "fields": [
                          {
                            "things": [],
                            "key": "something",
                            "value": ""
                        },
                        {
                            "things": [],
                            "key": "somethingelse",
                            "value": "1"
                        },
                        {
                            "things": [],
                            "key": "color",
                            "value": "green"
                        }
                    ]
                },
                {
                    "id": "ALL",
                    "fields": [
                                            {
                            "things": [],
                            "key": "something",
                            "value": ""
                        },
                        {
                            "things": [],
                            "key": "somethingelse",
                            "value": "1"
                        },
                        {
                            "things": [],
                            "key": "color",
                            "value": "red"
                        }
                    ]
                }
            ]
        }
    }
}');

> select jsonb_pretty(data) from foo;
                     jsonb_pretty
-------------------------------------------------------
  {
      "foo": {
          "bar": {
              "bar": [
                  {
                      "fields": [
                          {
                              "key": "something",
                              "things": [],
                              "value": ""
                          },
                          {
                              "key": "somethingelse",
                              "things": [],
                              "value": "1"
                          },
                          {
                              "key": "color",
                              "things": [],
                              "value": "pink"
                          }
                      ]
                  },
                  {
                      "fields": [
                          {
                              "key": "something",
                              "things": [],
                              "value": ""
                          },
                          {
                              "key": "somethingelse",
                              "things": [],
                              "value": "1"
                          },
                          {
                              "key": "color",
                              "things": [],
                              "value": "white"
                          }
                      ],
                      "id": "ALL"
                  },
                  {
                      "fields": [
                          {
                              "key": "something",
                              "things": [],
                              "value": ""
                          },
                          {
                              "key": "somethingelse",
                              "things": [],
                              "value": "1"
                          },
                          {
                              "key": "color",
                              "things": [],
                              "value": "green"
                          }
                      ],
                      "id": "1"
                  },
                  {
                      "fields": [
                          {
                              "key": "something",
                              "things": [],
                              "value": ""
                          },
                          {
                              "key": "somethingelse",
                              "things": [],
                              "value": "1"
                          },
                          {
                              "key": "color",
                              "things": [],
                              "value": "red"
                          }
                      ],
                      "id": "ALL"
                  }
              ]
          }
      }
  }

How do I set the value for all instances of the key named color to an empty string ("")? The syntax for handling this on nested arrays eludes me.