The unclued lights (one of two words and another hyphened) can be arranged to form a word pyramid of 3 to 11 letters, adding one letter and making an anagram step by step.
Across
11 Demands performances from the past? (6)
13 Totally obsessed having cleared the plate (7, two words)
15 Land where heated bath’s popular (5)
16 Recent cut in coffee (5)
17 Open unusual Scottish rucksack outside (6)
18 Tipsy round rear of shop (5)
20 One who reported home (6)
21 Passageway in centre of Scottish burgh (5)
22 Dog having baked beans — just ideal for starters (7)
27 In addition, different alien is cycling (7)
29 Pigment some brooch reveals (5)
32 Uncle’s first seen in Luigi’s capital, returning for affair (5)
34 Acid spilt right on daughter’s personal documentation (6, two words)
37 Precentor’s unfinished poem (5)
38 Tense pack-animal circling fragrant Japanese tree (7)
39 Acknowledge old edition of Bible.
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