How does the running count work during the play stage of cribbage?

During the play stage of cribbage, the running count works as follows:

• Initiation: The nondealer begins by playing a card faceup and announcing its value. Players then alternate turns, adding their cards to their own separate piles and announcing the new cumulative total of all cards played.1
• Limit: Play continues until the total reaches 31 or until a player cannot play a card without exceeding 31.1
• The "Go": If a player cannot add a card without going over 31, they must pass. The opponent then plays any remaining cards in their hand that do not exceed 31. The last player to play in each sequence scores a "go": two points for reaching exactly 31, or one point for any lesser total. Once a "go" is scored, the running count resets to zero, and the next sequence begins.1
• Combinations: Throughout the play, players also score points for forming specific card combinations, such as reaching a total of 15, creating pairs or sets, or forming runs.1