Flush wall plug for power cables?


I just had a new custom audio cabinet built. However the new cabinet is longer and covers the dedicated wall outlet for my system. When i plug the stiff power cords in the outlet I cannot shove the cabinet close enough to the wall for my liking. I could plug the cables into a power strip inside the cabinet but I’d like to use the dedicated outlet for my amp and dac, if it makes a difference? I don’t know for sure.
My question is, is there a company that makes a decent power cord with a flush angled wall plug? I’ve searched and cannot find any.
Thanks
128x128jb505
Thank you noramnce. It’s definitely an option. The only concern is the right angle iec plug. My dac has a sideways iec so the cord would be pointing down. If the cord is flexible enough it may not be an issue. Thanks for the recommendation. 
Thanks Elliot. Great idea. I remember seeing these years ago in an office building I worked in. I completely forgot about them. I’ll have to look and see how much room I have inside the wall for it to fit. It may do the trick.
Well, not sure which end, but you could use the Wattgate adapter here:

https://www.partsconnexion.com/wattgate-ac-power-schuko-connectors.html

and point the plug in either direction.

You can use an IEC adapter to point your equipment's socket in any desired direction:

https://amzn.to/3oVe65U

I also find these little adapters golden, especially when using wall warts in tight spaces:

https://amzn.to/2M1T86N
I use the Voodoo cable and other right angle adapters.
I spoke to Audioquest, and they said using them shouldn't make any difference as it is metal to metal.
B
Thanks for all the great recommendations:
I took off my outlet plate and the outlet. I cannot remove the current outlet box to install the recessed box so there is not enough room unless I want to perform a lot of sheetrock work.
I think what I’ll do is buy some flush angled connectors and replace the current ones with these on my cables. Sounds easy enough, but I’ve said that before.
Maybe if I call some cable company’s, like Voodoo, they will custom make me a cable with the flush plug.
jb505,  it is not too difficult a task if the current cord has a non-molded plug end.  The plug will disassemble fairly easy leaving the hot, neutral and ground wires pre-stripped and ready to go back into the new plug.  If it’s a molded plug then you have a bit more prep work to do after cutting off the end, but still not high on the diy difficulty scale.  Several good YouTube videos to watch to get you acclimated to the job.  It looks like you are in the Sacramento area?  I’m sure someone from here that is close by and proficient would offer to assist should you want to go that route.  Heck, if you were near Philly I would gladly do it for free.
Wishing you success on your project
Thank you bry. Actually my friend, unbeknownst to me has made his own cables and offered to help me out. So we’ll tackle this next weekend. He says it shouldn’t take long.However, I did buy one of the adapters from Voodoo recommended by two left ears.