Well, https://jmail.world/jacebook-logo.png is 670KB by itself and loaded on initial load, so I think they might have blown your suggested traffic budget and still have some optimization to do.
Edit: dang, even pngcrush can't get it below 580 KB. Disappointing performance on PNG's part.
Modern web development never ceases to amaze me.
This should be an SVG (a few kb after proper compression) or if properly made as a PNG it'd probably be in 20-ish kb.
That said, the actual size of this image is massive compared to where it needs to be, and looking at it, should definitely be able to quantize down to 32-64 colors and reduce the size to even 4x the render size... let alone just using svg, as others have mentioned.