You can download Ungoogled-Chromium-Android through F-Droid client and receive updates through it.
You need to add the official Ungoogled-Chromium-Android F-Droid repository as a third-party repository either by scanning the QR code or adding the URL manually (copy the link from below image):
Always verify that the repository details are exactly:
Address: https://www.droidware.info/fdroid/repo Fingerprint of the signing key: 2144449AB1DD270EC31B6087409B5D0EA39A75A9F290DA62AC1B238A0EAAF851
If you find this project helpful, please consider dotate to help offset some of the development costs.