According to AMD Download page for both the 5600XT and the RX 7600, at least with the latest driver, uses the same AMD driver for both:
5600XT latest AMD Driver: https://www.amd.com/en/support/graphics/amd-radeon-5600-series/amd-radeon-rx-5600-series/amd-radeon-...
RX 7600 latest AMD Driver: https://www.amd.com/en/support/graphics/amd-radeon-rx-7000-series/amd-radeon-rx-7600-series/amd-rade...
Unless the current AMD driver is older than 05/24/2023 then you would need to update.
Otherwise I wouldn't uninstall the current AMD driver and install your new GPU 7600 and see if it is supported if it is newer than 05/24/2023.
EDIT: Please unmark my first reply as "Solution" since it isn't a solution to your question. Thanks.