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To disable or remove the "Switch to This Tab" suggestions in the Chrome or Brave omnibar, follow these steps:

1. Access Chrome Flags:

• In your Chrome browser, open a new tab and paste chrome://flags/#omnibox-tab-switch-suggestions in the address bar and hit Enter​.
• In Brave, the same flag can be accessed using the above step as Brave is built on the same Chromium engine as Chrome.

2. Locate and Disable the Flag:

• Locate the flag titled "Omnibox tab switch suggestions".
• Set the flag to "Disabled" from the drop-down menu.
• Restart your browser for the changes to take effect.

3. Additional Info:

• This feature was noted to have changed with Chrome version 69, where the omnibar began offering a "Switch to tab" option when a domain already open in a different tab was entered​​.
• If the UI or flag names have changed in more recent versions of Chrome or Brave, it may require a different approach to disable this feature.

This method should effectively disable the "Switch to This Tab" suggestions in both Chrome and Brave's omnibar.