Locate the one change in harmonic minor
Place the natural and harmonic A-minor scores in your reading sequence and compare corresponding positions. Both begin A4, B4, C5, D5. Both continue E5 and F5. Position 7 changes from G5 to G-sharp5, and both finish on A5. The printed fingers remain 1, 2, 3, 1, 2, 3, 4, 5. The change therefore asks finger 4 to find a different physical key, not to insert an extra note between F and A.
Count semitones from F5 to G-sharp5. F to F-sharp is one, F-sharp to G is another, and G to G-sharp is the third. Yet the written letter names still move from F to G, which makes the interval a kind of second. Its larger size gives the name augmented second. From G-sharp to A there is only one semitone. Raising G changes both intervals around it, just as raising F did in G major, but the resulting complete scale pattern is different.
Why call the altered note G-sharp rather than A-flat when both names can identify the same key on this keyboard? The scale already has an A as its final note and needs a form of G in position 7. G-sharp names that relationship. Writing A-flat followed by A-natural would use the same letter for two successive positions and conceal the seventh-to-tonic relationship. Read the score's spelling rather than substituting a name based only on the black key's location.
Use the end of bar 2 for a comparison that isolates the change. Play E5, F5, G5, A5 with the natural-minor fingering, then E5, F5, G-sharp5, A5 with the harmonic-minor fingering. Keep the four durations equal. If G-sharp arrives late, first locate it without time; do not make the augmented second into a longer note. The larger pitch distance does not imply a longer duration. If the different route is uncomfortable, release and move between notes during slow exploration. The score does not require F and A to remain depressed together.