I know that part markings are a bad way to find the specs for components, but google search is not showing anything for this fuse.
Its labeled
"LF.5A/250VP"
Is this definitely 0.5A fuse rating?
The reason I ask is because the device is running at about .5A continuously in operation, and so either it is operating with its fault or the .5A could mean 5A.
You can visualy check thickness of wire. Compare thickness with some known 0,5A and with fuse for few amperes. Fuse wire thickness should be different.
To avoid this and similar situations, manufacturers often marks 500mA, 100mA, 350mA, 1,25A, 2A, ...
i think its 0.5A and LF is "Little Fuse" it's a brand name..., i have some few of LF fuses here. Example i have T5AL250VP under the LF, and its 5Amps 250VAC..