Final answer:
The best verb to complete the sentence is 'will have'. A relatively free week is mentioned and the suggestion of going kayaking if the other person is available.
Step-by-step explanation:
The best verb to complete the sentence 'This week or next ________ time' would be 'will have'.
Example: This week or next, I will have time. A relatively free week for me, so we should go kayaking if you are available too.
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