vsol ----- step 1 is probably to wash off all of that slime mold white fuzz from the whole plant. Cut off any mushy roots.
Then wipe down the plant including roots. Then, allow the whole plant including roots to dry right out - providing some gentle air-movement.
Do NOT apply any hydrogen peroxide to the roots.
And, if the base of the plant isn't mushy and still relatively firm ------ either use the 'sphag and bag' method (eg. google 'sphag and bag orchidboard'), or pot the orchid into coarse bark or coarse scoria (lava rock), in a pot that has excellent drainage ------ which means water exits the pot easily through drainage holes, and no water collects at the bottom of the pot.
If the base of the plant has turned to mush (very soft), then that would most likely be an unrecoverable situation - ie. not much chance or even no chance of surviving. Here, you could still try sphag and bag method, but probably a one-way ticket to where-ever the plants go after they ...... (eg. into the ground, or into the compost or bin etc).
Note that the water culture method is based on roots growing to meet or (as Jamie Oliver says it) 'kiss' the watery media ..... meeting the watery media on its own terms, where the roots somehow become adapted to a watery environment, or lower oxygen level watery environment ----- ie. the adapted root's metabolism is different from regular roots - can handle less oxygen or something.
Anyway, if you choose to grow in regular media - bark, scoria (lava rock), etc .... or any media, then the following info could become handy later for you:
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Also ----- your thread title mentions - fusarium bloom. Does fusarium actually look like that white fuzz? If not, and if there's no details that indicate that white fuzz is fusarium, then probably not a good idea to assume it's fusarium ------ as I don't think fusarium looks like white fuzz, right?
Anyway - good luck and all the best!