The new one should have come with a different adapter.

I Agree with Chispa, placing a semi-flush at the center of the powder room will give you a great amount of light. These are some good options. the warda semi-flush comes in four finishes and three sizes https://www.douniahome.com/collections/semi-flush-mount-ceiling-lights this is also a nice geometric option it comes in four finishes and three sizes https://www.douniahome.com/collections/semi-flush-mount-ceiling-lights/products/ula-semi-flush-mount-light

Shrina, the color is fine.(Although Polar White is a cool white w/more of a blue undertone. Since you have the brown tiles, I might have gone w/a warmer white. But you can work around it) once you get the mirror framed out, it will start to take shape. (maybe do a warm wood frame?) Add some cool hardware to your vanity. (maybe something w/decorative knobs) You don't want to paint the vanity? What you need is life on that large, blank wall! you could also do a shelf or two above the toilet to add a few accessories. here are some examples and all of them would perk up your space. do some inexpensive wood shelves. have some wood cut at Home depot, sand and stain them. get the brackets there too. (you can spray paint them silver, gold, white, whatever) then bring in some warm elements like the baskets, rolled towels, etc IF you paint your vanity white (or another color) it will revive the entire look ideas for the back wall,,,, this one you can cut a piece of peel and stick wallpaper, frame it, paint the frame, and voila! While on this one below, they did the entire wall. (you could do the peel and stick, regular wallpaper, or a mural). maybe some glass shelves over the toilet w/a picture or something. paint it a bold color (the one wall) and do some photography art or do a few picture shelves bold color, focal accessory (here they used a map, but any large picture or two would work) but look at the other items in the room. the rolled towels, a basket, nice rug, etc maybe a few pictures you can do something like this w/faux succulents. so a few shiplap boards, paint a darker color above it, add art or shelving and if you want to go full out, paint your vanity, add some wainscot around the bottom (you can DIY this) and whatever else you like get yourself a better vanity tray RL,4000K is hardly hospital-like. it's natural light. 2700 is really dim and really yellow. I think the lighting is fine. The glaring cool white walls are making it brighter. any reason why you picked white for the walls w/all of your brown/creamy tones?

This article gives various suggestions for how to remove the logo or other printing from the base of a light bulb. Knowing you can remove the printing could widen your search results! www.houzz.com/discussions/2668497/removing-printing-from-the-end-of-light-bulbs