Contracts are agreements, generally speaking most people and companies do not want to drag people in them, telcos excluded. All the termination clauses are put there, again in general, to provide some security to either party, not to entrap the other, again telcos mostly excluded.

If you don't want to be in a contract especially one just signed, typically most people will typically understand and let you of the hook, as long as entrapment is not their business model like telcos. This is mostly reflected in common cool-off period provisions, i.e provisions in the contract to terminate within a week or two.