I'm playing a commander deck with [Brago, King Eternal](https://gatherer.wizards.com/pages/card/Details.aspx?multiverseid=382221) as commander. I also have this card called [Alhammarret, High Arbiter](https://gatherer.wizards.com/pages/card/details.aspx?multiverseid=398436) I'm considering adding to the deck.

If I cast the arbiter, chose a spell(let's say Shock) and then blink it via Brago's ability, I know I can choose another spell(maybe Goblin Locksmith), but can I have both Shock and Goblin Locksmith 'blocked' at the same time? Does the effect on shock disappear when the arbiter blinks, limiting to one spell 'blocked' at once?