Yes, the program will tell you which Crucial products will fit.
You can then buy the same kind of product from any brand.
A 2.5" SATA SSD will fit.
But if an M.2 NVMe (also known as PCIe) SSD will fit - those are better, faster, and cost about the same.
For a SATA SSD, I would probably go with a Team AX2: https://www.amazon.com/dp/B08CK7T9FG
At the moment it's one of the cheapest models, without skimping on quality.
They have a 512GB version for $24.50, and a 1TB version for $43.
The Silicon Power A55 tends to always be a good deal, but isn't always the best deal. It's also a very decent SSD. Currently it's $25 and $45 respectively: * https://www.amazon.com/dp/B07997QV4Z * https://www.amazon.com/dp/B07B4G19X3