Create, Insert, and return BYTEA value

I'm creating vector tiles using

and I would like to store them immediately after they are created in addition to returning the object. The below code works fine at creating a bytea response.

WITH mvtgeom AS
(
SELECT ST_AsMVTGeom(
ST_GeomFromText('POLYGON ((0 0, 10 0, 10 5, 0 -5, 0 0))'),
ST_MakeBox2D(ST_Point(0, 0), ST_Point(4096, 4096)),
4096, 0, false)
)

SELECT ST_AsMVT(mvtgeom.*)
FROM mvtgeom

But when I change the last section to include an INSERT statement:

INSERT INTO test SELECT ST_AsMVT(mvtgeom.*)
FROM mvtgeom

I get the response: > This result object does not return rows Which is of course true, but how to insert data which isn't a row? The table test only has an ID and a BYTEA column.