EditAddressProfileDialogControllerImplTest into InProcessBrowserTest

Use of BrowserWithTestWindowTest is being deprecated and existing tests
requiring a Browser environment are being migrated to being browser
tests.

This CL updates the EditAddressProfileDialogControllerImplTest fixture
to an InProcessBrowserTest and removes the BrowserWithTestWindowTest
dependency.

The CL also fixes a crash on startup by delaying the creation of the
test `AutofillProfile` until `SetUpOnMainThread`, ensuring its
dependencies are initialized. Additionally, it fixes an issue in the
`WindowTitleOverride_TitleUpdatedWhenParamIsPresent` test where a
`base::MockOnceCallback` was being reused after it had been consumed.

Bug: 417766643
Change-Id: Id14dc1f8d40b0a7c4d3a7acef897f816332ce489
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/6669232
Reviewed-by: David Yeung <dayeung@chromium.org>
Reviewed-by: Tom Lukaszewicz <tluk@chromium.org>
Commit-Queue: Tom Lukaszewicz <tluk@chromium.org>
Cr-Commit-Position: refs/heads/main@{#1478251}