Fire does not spread in beta, does not burn logs or wool. I checked the options for the fire to spread, too / gamerule dofiretick and no change. The fire continues to burn but without effect on logs and wool.
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Thank you for your report!
We're actually already tracking this issue at MCPE-69075, so I will resolve and link this ticket as a duplicate.
If you would like to add a vote and any extra information to the main ticket it would be appreciated.
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