Pg_upgrade issue

I wanna upgrade a postgresql database from version 9.0 to 12.4 using pg_upgrade.

But I have an issue with postgis, in current postgresql, postgis v2.0 (possible to upgrade to 2.2) is in use which is not compatible with pg v12.4 and is the last version we can use in pg v9.0(postgis v2.2), so it seems I can’t upgrade database directly from 9.0 to 12.4, the solution I try to use is to upgrade pg v9.2 to v9.6 then on pg v9.6 upgrade postgis to v3.0, and then upgrade pg v9.6 to pg v12.4.

I just wanna know if there is any better solution I can use in this case ir no?

Following picture is my plan to upgrade.

Best Rigards

Abbas.