Persistent driftwood fungus

It looks like a black soft fuzz covering the brachwood. The first time it showed up was when I tried to set my tank a year ago. Back then, I had to brake down the setup before even plant it because I didn't have the time to take care of it. I treated the wood with H2O2 and let it dry for a year... Then when I set the tank up again last month, the fungus came back. I took the wood out the tank, treated it with H2O2 and scrubbed it until clean. After that I put it in a bucket with water so that it would soak and sink. Today I saw the fungus growing again.

What should I do?

 

Thanks for your replies.

I am willing to use gloves, but may I ask how is it that me touching the driftwood can trigger fungus?

Would gladly post pictures but it's too soon. The fungus has barely started to grow and will not show up in a picture. Like you, I thought it was BBA but it gets very long, comes off very easily and feels soft. When searching for it on the internet, I came across this picture View attachment 3444 . It is not the best quality but at least is something. The person that sold me the driftwood says it is called branchwood if the name helps.

 

Thanks again Dutchy.

Should I boil it? For how long?

 

Thanks for your replies.

It's very easy to remove and it's soft. Totally grey not greenish like BBA and gets way longer than any BBA I've seen before. It grew back after a couple of weeks while the wood was in a covered bucket full of water. No lights or nutrients besides what comes with the tap water. I sprayed H2O2 and as before, it almost dissolves. I have the feeling that the H2O2 also degrades the wood structure because after the several treatments this wood has gone through, there has been some discoloration. This time I cleaned the wood and attached moss after rinsing it well. Maybe it outcompetes whatever this fuzzy thing is... At this point, I really don't know what else to try. The person who sold me this wood told me that it may be some kind of bacteria...
I think it is too soon to add any animals to the tank. It has been running for only 3-4 weeks and has had a very rough start with lots of plants dying due to inadequate light. So it maybe a very unhealthy environment for fish and shrimp still.