The Doge.gov website is an absolute mess, which means it is ridiculously easy to deliver Twitter/X images directly through it.
This website works as a generator to create these proxied URLs. To use it, copy the image URL of an image on Twitter/X
(using r-click + "Copy Image URL" or another method), and paste it into the input field. The proxied URL will automatically
be placed in the output textbox.
If you want to make the URL harder to directly perceive as a Twitter/X image,
you can check the "Obfuscate" checkbox. This URL-encodes the entire URL, making it harder to decipher as a human.
This does make it much longer and messier-looking, however.