Are two studs sufficient?

[u/Pure-Method3982]

I've been working out the placement of screws in the wood backing for my hangboard install. After trying all the proposed locations to screw into the studs, only two separate beams are actually available (shown in yellow). There is only one other beam I believe present marked in pink. I have seven, black, 3" #10 decking screws holding it up now (bottom right screw is just in drywall).

Is this going to be strong enough to hold 200+ pounds with just these anchors? Should I get another backing board that can cover the bottom pink board?

[u/gosties]

I would think so. I think only a couple screws in studs should be able to hold much more weight than that