You are selling. Don't bother painting. As you say, the house doesn't get like and the new paint shows purple. Buyers will choose their own paint.

I repainted our house in Pale Oak before we sold it. Because it can read gray or beige, I think it should be fine with Agreeable Gray.

IMO beige is never a neutral I would not want beige anything so stop trying to please everyone and just clean and clean again and save the money for painting your next home.IMO if you want to spend money get all LED bulbs in all the lighting it will instantly brighten up the rooms IMO AG SW is more taupe than gray so if you have to paint use one of the whites SW suggests to stay really neutral.

I've seen Pale Oak called a pale taupe. I'd rely on my realtor for advice whether to repaint or not, but if I had merely upgraded my light bulbs, rather than repainting; the nicks, rubs and wear in my house's walls would have been obvious.

My realtor told me to do nothing but move out, clean it sparkling inside and out and then let her stage it and take pictures and list. Don't: refinish the floors, paint, change light fixtures etc... markets could be different in different areas but new buyers want their own colors.

Would you use agreeable gray and pale oak together in palette?

No.

Because Pale Oak and Agreeable Gray are essentially the same color

Except Pale Oak is lighter.

It's obvious when you look at two large-size samples next to each other.

Both colors have potential to show up purple-ish in certain lights.

That doesn't mean they are purple or have purple "undertones".

That doesn't mean they're "taupe".

It just means that low chroma, near neutral colors factually in this Yellow hue family range can actually show up warm, neutral with no discernible hue.

Or - they can flash moments of purple/purple-brownish.

We know because we have a framework of color data values that define, describe and order paint colors so we can easily track - and predict - how they show up.

I disagree, that you shouldn’t paint or do minor updates before selling your home.
My husband has always had a white collar job but any updates we did to our home he learned to do, and did himself or with friends. Maybe that spoiled my kids with cool sandbox, bunk beds etc.
Both kids purchased their own homes within the last 3 years.
My son cared about the lot, floor plan. He knew he was going to redo most of it, so price was most important. He looked past some yuck.
My daughter different story wanted a specific town and if it was ugly she could not see past bad color choices.
Now my husband and myself are looking to downsize. A ranch we know we will gut so what’s inside doesn’t matter

I wouldn’t paint an already-dark house gray. And you say it reads purple in different light? !!

If you feel you must paint, use a soft white. Not bright white.

SW Alabaster is a very popular warm off white/white. I have a relative who painted her whole house Agreeable Gray and I don't like it. I find it dark and depressing. But she loves it, which is great, it's her house. But that's why you're better going with white for resale. Some people might find it boring, but it gives you a clean slate and is easy to live with if it takes you a while to paint after you move in. It also imparts a clean feeling which is important when selling.

If you have white trim, paint the bedrooms the same white. Simple, easy, looks great. If you don't have white trim, pick a white that goes with your flooring or wood trim. The exact color white will not make or break a sale.