The label on HASTI says manual, which means this part between the arrival and approach procedures are not linked up (systematically). In the real world, the arrival plate will say after JJENI fly heading 121 and expect radar vectors to FINAL. Here is the part on the cont. page of BAINY3.
And being around MSP for 3 years, I could tell this BAINY3 arrival is very often used and sometimes the ILS30L approach did not extend that much to HASTI transition. Long story short, after JJENI you switch to heading mode and keep flying 121 degrees until you are comfortable to make a left hand turn to 31 degrees anticipating an ILS interception. Also keep in mind that you need to pass MAUER at 8000 ft, 210 kts. If you want to fly all the way to HASTI, you need to stay above 7000 ft (basically level off).
Edit: MSP ATC are usually pretty nice with shortcuts since that’s a pretty busy airspace.