The study paper is linked and seems to say there were 115 participants identified and then assigned into various groups. Table 1 shows the differences in the cash and non cash group.
So the control group met the same conditions - they just missed out via randomisation.
“We screened 732 participants from 22 shelters from four shelter organizations across Metro Vancouver. Our preregistered screening criteria were: age 19 to 65, homeless for less than 2 y (homelessness defined as the lack of stable housing), Canadian citizen or permanent resident, and nonsevere levels of substance use (DAST-10) (21), alcohol use (AUDIT) (22), and mental health symptoms Colorado Symptom Index (CSI) (23) based on predefined thresholds (see SI Appendix, Table S1 in SI Appendix, section 1.3.2). These screening criteria were used to reduce any potential risks of harm (e.g., overdose) from the cash transfer. To ensure accurate responses, the screening survey was conducted under a cover story without any mention of the cash transfer. Of the 732 participants, 229 passed all criteria (31%). Due to loss of contact with 114 participants despite our repeated attempts to reach them, we successfully enrolled 115 participants in the study as the final sample (50 cash, 65 noncash; see Table 1). The sample size was modest but was nonetheless adequately powered to detect statistically significant effects from the preregistered power analysis”