Aha! I hadn't made the connection between the mention of 'Primal Covenant' and 'First Covenant'. It's obvious in retrospect, of course, but I missed it completely on my initial reading. Possibly because 'covenant' is such a loaded term when it comes to spirit binding (it generally means making a deal, not giving blood, after all), possibly because the capitalization of 'First' made it seem like that was some kind of special type of 'Covenant', not related to the Primal one.
My best suggestion is replacing 'I feel a tingle as for a second time, the two of us are connected by the Primal Covenant.' with 'The tingle of the Second Covenant is stronger than the First, as the two of us are again connected by the Primal Covenant.'
No matter how I put that, two mentions of Covenant in the same sentence just don't seem to play well together. Maybe you can do better. But if you can just get a capitalized 'First' somewhere in that sentence, you're golden. Even if you decide not to bother, there probably aren't many here who'd miss the connection.
"Not this again!" Minerva said. "Albus, it was You-Know-Who, not you, who marked Harry as his equal. There is no possible way that the prophecy could be talking about you!" - Harry Potter and the Method of Rationality, Chapter 84
My best suggestion is replacing 'I feel a tingle as for a second time, the two of us are connected by the Primal Covenant.' with 'The tingle of the Second Covenant is stronger than the First, as the two of us are again connected by the Primal Covenant.'
No matter how I put that, two mentions of Covenant in the same sentence just don't seem to play well together. Maybe you can do better. But if you can just get a capitalized 'First' somewhere in that sentence, you're golden. Even if you decide not to bother, there probably aren't many here who'd miss the connection.
"Not this again!" Minerva said. "Albus, it was You-Know-Who, not you, who marked Harry as his equal. There is no possible way that the prophecy could be talking about you!" - Harry Potter and the Method of Rationality, Chapter 84