[7871_48] Resolve hang when dismissing eye-dropper view on Windows.

Original change's description:
> Resolve hang when dismissing eye-dropper view on Windows.
>
> Change-Id: I34ad818e87699b728711e2f21a8b9252313e1cc8
> Bug: 527089994
> Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/7997565
> Commit-Queue: Allen Bauer <kylixrd@chromium.org>
> Reviewed-by: Dan Clark <daniec@microsoft.com>
> Reviewed-by: Keren Zhu <kerenzhu@chromium.org>
> Cr-Commit-Position: refs/heads/main@{#1652503}

(cherry picked from commit 36256ff9ab61ee3d2502f803e7d0c0a47459a174)

(cherry picked from commit 2884cfb2487089dc139b90f9927783b69ff5dcd6)

Bug: 531627215,527089994
Change-Id: I34ad818e87699b728711e2f21a8b9252313e1cc8
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/8045082
Bot-Commit: rubber-stamper@appspot.gserviceaccount.com <rubber-stamper@appspot.gserviceaccount.com>
Auto-Submit: chrome-cherry-picker@chops-service-accounts.iam.gserviceaccount.com <chrome-cherry-picker@chops-service-accounts.iam.gserviceaccount.com>
Commit-Queue: rubber-stamper@appspot.gserviceaccount.com <rubber-stamper@appspot.gserviceaccount.com>
Cr-Original-Commit-Position: refs/branch-heads/7871@{#2875}
Cr-Original-Branched-From: f542126b8c1b3e80104b26bb05ec830bd1206f29-refs/heads/main@{#1639810}
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/8049220
Auto-Submit: Daniel Yip <danielyip@google.com>
Owners-Override: Daniel Yip <danielyip@google.com>
Cr-Commit-Position: refs/branch-heads/7871_48@{#5}
Cr-Branched-From: 8df7793f7b283bff9f6fb3248d55e3b9e2fdd309-refs/branch-heads/7871@{#2041}
Cr-Branched-From: f542126b8c1b3e80104b26bb05ec830bd1206f29-refs/heads/main@{#1639810}