^ This is basically your answer, except that the grant room (which is really what is carrying forward here) continues to carry forward to age 17. So theoretically if you started at 10 years of age for the child, you could contribute $5000/yr and get $1000/yr for those seven years and get just under the full CESG which is $7200.
There isn't an obligation to have had the RESP open for that room to accumulate either, just as you note with the TFSA.
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