APL (Dyalog Classic), 21 bytes

1∊8≤4↓⍉×\25 30⍸↑⌽¨,\⎕

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uses ⎕io←1

25 30⍸x is 0 if x<25, 1 if 25≤x<30, or 2 otherwise

we compute cumulative products of these starting from (or equivalently: ending at) all possible locations, discard the first 4 products, and detect the presence of products ≥8 (which is 2³)

APL (Dyalog Classic), 21 20 bytes

1∊8≤4↓⍉×\25 30⍸↑,⍨\⎕

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uses ⎕io←1

25 30⍸x is 0 if x<25, 1 if 25≤x<30, or 2 otherwise

we compute cumulative products of these starting from (or equivalently: ending at) all possible locations, discard the first 4 products, and detect the presence of products ≥8 (which is 2³)

APL (Dyalog Classic), 21 bytes

1∊8≤4↓⍉×\25 30⍸↑⌽¨,\⎕

Try it online!

uses ⎕io←1

APL (Dyalog Classic), 21 bytes

1∊8≤4↓⍉×\25 30⍸↑⌽¨,\⎕

Try it online!

uses ⎕io←1

25 30⍸x is 0 if x<25, 1 if 25≤x<30, or 2 otherwise

we compute cumulative products of these starting from (or equivalently: ending at) all possible locations, discard the first 4 products, and detect the presence of products ≥8 (which is 2³)