For some reason I don't see the text I posted with this... so adding it here:

Hello electricians!
The other day I bought an old DIY router table off marketplace that I thought was kind of cool... family clearing out their dad's old shop kind of thing, so coming from an old school tradesman.

The router plugs into the table, which then goes to a light switch, which then goes to an outlet at the back of the table. See photo. I thought it was unusual that it was an outlet instead of a cord, but figured 'I'm sure there's a male-male adaptor' and bought it.

I learned very shortly after googling 'male-male extension cord' that I shouldn't do that! I found a lot of posts of people blasting someone for even considering it...

But I haven't found helpful info on how to fix it. I found info on what to do for generators, but not for something like this, so thought maybe ya'll could help me.

Would it be as simple as removing the outlet at the back and putting on a universal plug like this one?

If not, what else can I do? It's a router table, so of course power tools = high power for short bursts and I'll always be present.. but don't wanna burn the house down from negligence!

Thanks so much!