[M150] Force HeadlessTabModel to ignore incognito

Original change's description:
> Force HeadlessTabModel to ignore incognito
>
> It should never restore successfully in the first place. However, this
> should help protect against the IllegalStateException being reached.
>
> Include-Ci-Only-Tests: chromium.android.desktop:android-desktop-x64-rel-15-tests|chrome_public_test_apk
> Fixed: 524524589, 522825037
> Change-Id: Ibf7c079c90697c2113d0c79c36faf22402296e7a
> Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/7951008
> Reviewed-by: Henrique Nakashima <hnakashima@chromium.org>
> Reviewed-by: Sky Malice <skym@chromium.org>
> Commit-Queue: Calder Kitagawa <ckitagawa@chromium.org>
> Reviewed-by: Fiaz Muhammad <mfiaz@google.com>
> Cr-Commit-Position: refs/heads/main@{#1647905}

(cherry picked from commit 5ff5f61bcf948ced4bb0172346eb9f20cb4326e2)

Bug: 525047998,524524589,522825037
Change-Id: Ibf7c079c90697c2113d0c79c36faf22402296e7a
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/7977541
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>
Bot-Commit: rubber-stamper@appspot.gserviceaccount.com <rubber-stamper@appspot.gserviceaccount.com>
Cr-Commit-Position: refs/branch-heads/7871@{#1862}
Cr-Branched-From: f542126b8c1b3e80104b26bb05ec830bd1206f29-refs/heads/main@{#1639810}