In the Twitter for Android, every link you click will be opened in the in-app browser by default.
If you prefer to get the links opened in your default browser instead of the in-app browser, then you need to disable Twitter in-app browser and here are the steps:
That's it. The Twitter in-app browser is disabled successfully, and from now on, the links will be opened in your default browser.
If you prefer to revert default, then follow the above steps.
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How to Disable Twitter In-App Browser on Android