Cribbage rule help - details below?

So below are the two rules a friend and I are having issues about. I believe that after the 32 count is reached then the next card played after can not be counted as a pair.

My friend thinks that if a 5 card is the last card, which would bring the count to 31 and starting over, when the next count starts that she can place another 5 down and earn two points.

please help.

. Play of the cards:

Players alternately play (place face up on the table) one card at a time, starting with the pone. The cumulative value of the cards played is announced as each card is played.

When a player cannot play a card without the cumulative total exceeding 31, that player calls "go" and the opponent continues to play all cards possible (not exceeding a 31-count). The player who calls "go" plays first in the following 31-count sequence.

Points are scored during this play of the cards (see scoring chart in rule 1.7).

Straight (or Run), Single: Sequence of three or more consecutive cards in any order during the play of the cards; for example, 3, 5, 6, 7, 4 (counts three when the 7 is played and counts five when the 4 is played).