Step 1: Understanding the Concept:
Peptide bond synthesis is a condensation (dehydration) reaction between the $lpha$-carboxyl and $lpha$-amino groups of adjacent amino acids.
Key Formula or Approach:
\[ \text{R}_1\text{-COOH} + \text{H}_2\text{N-R}_2 \xrightarrow{\text{Condensation}} \text{R}_1\text{-CO-NH-R}_2 + \text{H}_2\text{O} \]
Step 2: Detailed Explanation:
Analyzing the biochemical characteristics of peptide bond formation:
1. A (True): Formed via a biochemical condensation reaction linking an $\alpha$-carboxyl group to an $\alpha$-amino group.
2. B (True): The reaction is a dehydration synthesis, releasing one molecule of water ($\text{H}_2\text{O}$) per bond synthesized.
3. C (True): An amide bond ($-CO-NH-$) is an extremely strong covalent bond with partial ($40\%$) double-bond resonance character.
4. D (False): It is not a weak non-covalent bond.
Thus, statements A, B, and C are correct.
Step 3: Final Answer:
Therefore, the correct choice is A, B & C only, matching option (D).