You will need to clarify which states equate to A, B and C. Each state has unique rules for these circumstances including any potential reciprocity agreements with other states and pandemic rules.
Normally you would be taxed by state A, your resident state on all income from all sources. Next you would also be taxed by state B for work actually performed in that state. State A would give a credit for taxes paid to the other state on your resident return.
However, due to the pandemic expanding the work from home occurrences some states have changed their rules on remote worker tax and withholding which could lead to state C taxing you.
Once you post which states are involved someone will be able to give specific advice for your circumstances.
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