The other responses are answering everything but the actual question: You can NOT remove the recovery partition when installing Asahi. It's required to boot Asahi.
In regards to the comment about not needing to uninstall OSX (actually macOS 13 at this point) if you don't want to: you almost definitely do want a side-by-side install. macOS is the only way to get firmware updates right now and there are certain scenarios you could run into on the Asahi side that may require you to install macOS to be able to fix them. If you really really wanted, it is technically correct that you could uninstall the non-recovery macOS though.
In regards to the comment about not needing to uninstall OSX (actually macOS 13 at this point) if you don't want to: you almost definitely do want a side-by-side install. macOS is the only way to get firmware updates right now and there are certain scenarios you could run into on the Asahi side that may require you to install macOS to be able to fix them. If you really really wanted, it is technically correct that you could uninstall the non-recovery macOS though.