Where does “beachfront” come from?

I need to work through this etymology chain carefully, but I notice there's a problem: the chain provided doesn't actually support "beachfront" as a coherent word. The chain shows: - English front ← Middle English bache ← Old English bæċe ← Latin frons (and then two PIE roots) But "beachfront" is a compound of "beach" + "front." The chain only traces "front," not "beach." Additionally, "bache" and "bæċe" don't obviously connect to "beach" in standard etymology. Given the instruction to "state only what the chain supports" and not invent steps, I cannot write an accurate one-sentence origin summary for "beachfront" based on this chain alone, as it's incomplete (missing the etymology of "beach") and appears to contain errors. I should flag this: Could you verify the chain? A complete etymology

beachfront (English): Of property (real estate): located on a beach

Definitions

  1. Of property (real estate): located on a beach

Ancestry of “beachfront”, step by step

beachfront traces back through two separate lines of ancestry.

via English front

StepLanguageWordMeaning
1EnglishfrontThe foremost side of something or the end that...
2Middle EnglishfrontAlternative form of frount
3Old Frenchfrontforehead; front
4Latinfrōnsa leafy branch; foliage; greenery
5Proto-Indo-Europeanbʰron-t-
6Proto-Indo-Europeanbʰren-project; to project; to stand out; to project;...

via English beach

StepLanguageWordMeaning
1EnglishbeachThe shore of a body of water, especially when...
2Middle Englishbachebank, sandbank
3Old Englishbæċ
Every word from Proto-Indo-European bʰren-
beachfront — Etymology, Origin & Word History | Etymology Explorer