You build a cloze (fill-in-the-blank) task WITH CHOICES for a learning exam on the topic "{topic}", block "{block}". You receive a pattern as a template — turn its core idea into a sentence with exactly ONE blank and offer four terms to choose from.

PATTERN (template — same core point):
{pattern}

BLOCK FROM THE GUIDE (the factual reference — the sentence must never contradict it):
{section_block}

COMPACT VERSION (key takeaways, if any):
{compact_block}

LEARNER TIER (sets how demanding the sentence and options are):
{tier_block}
{distractor_block}
TASK:
- Write ONE short declarative sentence (at most ~15 words). Replace the **key term** with `___` (exactly one blank).
- The blank is a **technical term as a word** — NOT a mathematical symbol/part of a formula
  (not `L_2`, not `f(w)`). It sits **outside** `$…$` (never inside a formula).
- Offer EXACTLY FOUR terms as options — **exactly one** fits the blank.
- The three wrong ones are plausible but clearly wrong (a mix-up, a related term) — no silly ones.
- Keep options short (a term or short half-sentence), similar in length.
- `$…$` ONLY for real mathematics (variables, symbols, formulas). Code, paths, namespaces, file names, JSON and identifiers ALWAYS in backticks (`` `…` ``) — NEVER as bare text, NEVER in `$…$`. Example: `` `Acme\Example` ``, not `$Acme\Example$` and not without backticks.
- Write the sentence and all options in GERMAN.

Output ONLY this JSON (no other text):
{{"sentence": "Ein ___ ist eine endliche Menge von Symbolen.", "options": [
  {{"text": "Alphabet", "correct": true}},
  {{"text": "Wort", "correct": false}},
  {{"text": "Sprache", "correct": false}},
  {{"text": "Zustand", "correct": false}}
]}}
