feat: deterministic equity/board-reading tool (math via tools, not LLM)

Lyra was hallucinating poker facts — phantom flushes, missed straights, wrong
equity, only correcting when spoon-fed. Board reading + equity are combinatorial
facts an LLM can't do reliably; this is exactly the "math via deterministic
tools, never the LLM" principle.

- lyra/equity.py: treys-backed analyze(hero, villain, board) -> made hands,
  who's ahead, EXACT equity (enumerated), and outs (one to come). Handles 'Jx'
  unknown suits (assigned rainbow to avoid phantom flushes); rejects 'x'/dupes.
- analyze_spot tool wired into chat; persona MANDATES it for any equity/board/
  who's-ahead/outs question — never eyeballed.
- tests on the real JJ-vs-65 hand: flop 78.7%, turn villain straight + hero 6.8%
  with outs "9s 9h 9c" (correctly excludes 9d, which makes villain a flush).

Verified live: she now calls the tool and reports exact numbers, no hallucinated
flush.

Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>

uv.lock

@@ -286,6 +286,7 @@ dependencies = [
     { name = "numpy" },
     { name = "openai" },
     { name = "python-dotenv" },
+    { name = "treys" },
     { name = "uvicorn", extra = ["standard"] },
 ]
 
@@ -302,6 +303,7 @@ requires-dist = [
     { name = "numpy", specifier = ">=2.4.5" },
     { name = "openai", specifier = ">=2.37.0" },
     { name = "python-dotenv", specifier = ">=1.2.2" },
+    { name = "treys", specifier = ">=0.1.8" },
     { name = "uvicorn", extras = ["standard"], specifier = ">=0.34" },
 ]
 
@@ -692,6 +694,15 @@ wheels = [
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 ]
 
+[[package]]
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+version = "0.1.8"
+source = { registry = "https://pypi.org/simple" }
+sdist = { url = "https://files.pythonhosted.org/packages/3b/a6/1712340dc1ac96d40afe162d43ce146c7781ba59cde5efc988aaee35ada4/treys-0.1.8.tar.gz", hash = "sha256:a486a42b899e91985b4da4fdac9a30e638275648977104487acb90a2dd7cd73b", size = 12073, upload-time = "2022-06-21T16:02:44.976Z" }
+wheels = [
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+]
+
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 name = "typing-extensions"
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