Glasses for monitor 1.5 arms length away

I'm newly 4-eyed (well about 1 year ago was first pair) so this is all still new to me.

I have two prescriptions, one for reading and one for long distance (driving).

I got my reading glasses prescription updated recently. When I was getting tested I noted that what I was reading was about 0.5 arms length away.

I didn't order the glasses at that stage, only got the prescription.

I realised a few days after I'd left the optician that when reading I usually hold the book at arms length, and then when using a monitor it's 1.5 arms length, always has been.

Would the "Office glasses" version of my reading glasses be the solution here as I think the reading glasses prescription isn't right for monitor use in my case.

I do find that my eyes get tired after perhaps 3 hours using the existing reading glasses I had for the last year, so perhaps the opticians have always assumed my monitor is arms length away.