Composite multicolumn index for geopoint range and numeric range query

I am building an app where the server needs to select rows based on some criteria/filters. One of them is the location of the user and the radius at which the user want's to see posts and other filters such date range and filter for a value of another column. This is going to be for an ad-hoc event discovery app. I have read about PostGIS, its geometry,geography types and I know there is a native point datatype. Based on this answer I understood that it is better to order from equality to range columns, even though I feel like geo point column should be the first. Suppose the following few rows of a simplified events table (disregard the validity position data): id event_title event_position event_type is_public start_date (varchar) (point lat/lon) (smallint) (boolean) (timestamptz) -- --------------------------- --------------- --------- --------- ---- 1 "John's Party" (122,35) 0 0 2020-07-05 2 "Revolution then Starbucks" (123,30) 1 1 2020-07-06 3 "Study for math exam" (120,36) 2 1 2020-07-07 4 "Party after exam" (120,36) 1 1 2020-07-08 5 "Hiking next to the city" (95,40) 3 1 2020-07-09 6 "Football match" (-42,31) 4 1 2020-07-10 Imagine the table contains several thousand records at least, obviously not only 6. So in this table a user would be able to query public events close to (122,34) by 100km (suppose first three rows fall into this area) and of event types 0, 1 or 2 falling between dates 2020-07-05 and 2020-07-07. The user would get the rows with ID 2 and 3. This is the query I want to optimize with an appropriate index. My question is, how is it possible to create such an index? I thought about GiST or GIN index but not sure how these could help. Thanks!