[ios] Update files in i/c/b/ui/save_to_photos/*

This CL replaces:
* ChromeBrowserState => ProfileIOS
* GetForBrowserState => GetForProfile at call sites.
* GetBrowserState => GetProfile
* browser_state, browserState => profile

web::BrowserState code is not updated.

Fixed: 369817370
Change-Id: I9f3f74edebacdd35470a91646988c30a546c0a83
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/5901838
Reviewed-by: Mark Cogan <marq@chromium.org>
Commit-Queue: Mark Cogan <marq@chromium.org>
Auto-Submit: Federica Germinario <fedegermi@google.com>
Cr-Commit-Position: refs/heads/main@{#1362501}