The bucket circuit uses the system relief which is around 2,500 psig. There is no "bucket work relief". The OP already blew a hose curling back into the thumb.
Are you basing that on fact or the observation that a hose blew? Just curious.
I'm no expert on Takeuchi excavators but looking at the
parts manual
page 8-2, the valve block has ORV on both the bucket and the aux circuit.
It looks like the aux circuit is the third valve, see above parts diagrams (verify it covers your serial number), and verify that the hoses do go to the aux/thumb.
On my backhoe the aux circuit relief was set at 3500 PSI when I got it, when I put a thumb on I adjusted it down to 2200 PSI, which allowed my bucket to over come it.
If you want to get an idea of what the valve may look like and how to set it, check out this video I made of my thumb install on my JCB 212S backhoe. It gets to the hydraulic specifics around 3:40 into the video
http://youtu.be/cEjhr2V3GXA
Your valve may be adjusted differently, but my guess is that it is very similar to my JCB. Remove the cap nut, back off the lock nut, turn clockwise increases pressure, opposite to decrease pressure. Adjust with engine off, reassemble between tests or you may leak fluid.
Greg.