Question about the limitations of POSTGRESQL (list making) - postgresql

Question

I have this code that gives me a list of where user can go:
SELECT place_name,user_id,user_name
FROM code.place, code.user
WHERE (place.place_id, user_id) NOT IN(
SELECT place_id, user_id
FROM code.visit
WHERE visit.user_id BETWEEN 1 AND 15
AND age(date) <= interval '4 months'
)
AND user_id BETWEEN 1 AND 15
I want to know if it would be possible to make a code that could take this list and define the following:
Select 2 places to user with id=1
Select 1 places to user with id=2
Select 3 places to user with id=3
Based on the list above, of course (AND without repeated places, as the list above gives repeated places). The result should look like this.
place_name|user_id|user_name|
COSCO |1 | james |
WALMART |1 | james |
MALL |2 | carlos |
TARGET |3 | jane |
7ELEVEN |3 | jane |
NESTLE |3 | jane |
I am sorry if it's a silly question but I am new to PostegreSQL (any SQL at all) and need to know the limitations of this language to do a project that I have (I am a intern).
The code "SELECT" gives me the "table" below. The first "table" is what I need to create.
place_name|user_id|user_name|
1 NESTLE |1 | james |
2 7ELEVEN |1 | james |
3 MALL |1 | james |
4 TARGET |1 | james |
5 COSCO |2 | carlos |
6 WALMART |2 | carlos |
7 TARGET |2 | carlos |
8 7ELEVEN |2 | carlos |
9 NESTLE |2 | carlos |
10 COSCO |3 | jane |
11 WALMART |3 | jane |
12 MALL |3 | jane |
The CREATE TABLE code looks like this:
CREATE TABLE code.place (
place_id VARCHAR(8),
place_name VARCHAR (50),
CONSTRAINT pk_place_id PRIMARY KEY (place_id)
);
CREATE TABLE code.user (
user_id VARCHAR(3),
user_name VARCHAR (50),
CONSTRAINT pk_user_id PRIMARY KEY (user_id)
);
CREATE TABLE code.visit (
user_id VARCHAR(3),
place_id VARCHAR(8),
date DATE,
CONSTRAINT pk_user_id FOREIGN KEY (user_id) REFERENCES SCHEMA.user,
CONSTRAINT pk_place_id FOREIGN KEY (place_id) REFERENCES code.place,
EXCLUDE USING gist (pk_user_id WITH =, daterange(data, (data + interval '6 months')::date) WITH &&)
);